Could you please let us know if you are using Target Standard or Target Advanced? What is the environment you are using and lag in time you see? If you could detail a bit more here, would be able to assist you better.
1.) T&T Company: 2.) Admin # (in the URL): 3.) Campaign name: 4.) Campaign id (end of URL when in 'edit' tab): 5.) Steps to duplicate the issue: 6.) URL of website where is the T&T campaign implemented)